Peer-Reviewed Journal Details
Mandatory Fields
Authors
Detinko, AS,Flannery, DL,O'Brien, EA
Year
2009
Month
December
Journal
Journal Of Algebra
Title
Deciding finiteness of matrix groups in positive characteristic
Status
Published
Times Cited
()
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Search Keyword
Matrix group Function field Finiteness problem Order problem Algorithm FUNCTION-FIELDS
Volume
322
Issue
Start Page
4151
End Page
4160
Abstract
We present a new algorithm to decide finiteness of matrix groups defined over a field of positive characteristic. Together with previous work for groups in zero characteristic, this provides the first complete Solution of the finiteness problem for finitely generated matrix groups over a field. We also give an algorithm to compute the order of a finite matrix group over a function field of positive characteristic by constructing an isomorphic copy of the group over a finite field. Our implementations of these algorithms are publicly available in MAGMA. (C) 2009 Elsevier Inc. All rights reserved.
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Edition
URL
DOI Link
DOI 10.1016/j.jalgebra.2009.08.020
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